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# Circle O, as shown in the figure above, has diameters of DB

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GRE Prep Club Team Member
Joined: 20 Feb 2017
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Kudos [?]: 36 [0], given: 36

Circle O, as shown in the figure above, has diameters of DB [#permalink]  24 Mar 2020, 00:22
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Question Stats:

66% (00:07) correct 33% (00:05) wrong based on 3 sessions
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14.jpg [ 18.3 KiB | Viewed 109 times ]

Circle O, as shown in the figure above, has diameters of DB and AC and has a circumference of 9. What is the length of minor arc BC?

(A) 4
(B) 11/3
(C) 7/2
(D) 13/4
(E) 3
[Reveal] Spoiler: OA
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Joined: 18 Apr 2015
Posts: 10225
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Kudos [?]: 2546 [0], given: 9586

Re: Circle O, as shown in the figure above, has diameters of DB [#permalink]  26 Mar 2020, 09:57
Expert's post
since OA = OB

Angle OAB = Angle OBA = 70

Angle BOC = Sum of 2 interior opposite angles = 70 + 70 = 140

Arc BC = (140/360) * 9 = 7/2
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Re: Circle O, as shown in the figure above, has diameters of DB   [#permalink] 26 Mar 2020, 09:57
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